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Kinematics practice problems:
1. Georgia is jogging with a velocity of 4 m/s when she accelerates at 2 m/s2 for
3 seconds. How fast is Georgia running now?
2. In a football game, running back is at the 10 yard line and running up the
field towards the 50 yard line, and runs for 3 seconds at 8 yd/s. What is his
current position (in yards)?
3. A cat is moving at 18 m/s when it accelerates at 4 m/s2 for 2 seconds. What is
his new velocity?
4. A race car is traveling at +76 m/s when is slows down at -9 m/s2 for 4
seconds. What is his new velocity?
5. An alien spaceship is 500 m above the ground and moving at a constant
velocity of 150 m/s upwards. How high above the ground is the ship after 5
seconds?
6. A bicyclist is traveling at +25 m/s when he begins to decelerate at -4 m/s2.
How fast is he traveling after 5 seconds?
7. A squirrel is 5.0 m away from you while moving at a constant velocity of 3
m/s away from you. How far away is the squirrel after 5 seconds?
8. A ball is dropped off a very tall canyon ledge. Gravity accelerates the ball at
9.8 m/s2. How fast is the ball traveling after 5 seconds?
9. During a race, a dragster is 200 m from the finish line when something goes
wrong and it stops accelerating. It travels at a constant velocity of 45 m/s for
3 seconds to try to finish the race. How far from the finish line is the dragster
after 3 seconds?
10. A dog is 60 m away while moving at a constant velocity of 10 m/s towards
you. Where is the dog after 4 seconds?
11. Isaac throws an apple straight up (in the positive direction) from 1.0 m above
the ground, reaching a maximum height of 35 meters. Neglecting air
resistance, what is the ball’s velocity when it hits the ground?
12. Two kittens are on opposite sides of a field, 250 m apart. Kitten A runs at a
constant speed of 25 m/s due east on a collision course with kitten B, which is
traveling west at 12 m/s. How much time elapses before the two kittens
collide?
Worksheet2.6ͲKinematicEquations
1.Aballrollingdownahillwasdisplaced19.6mwhile
uniformlyacceleratingfromrest.Ifthefinalvelocitywas
5.00m/s.whatwastherateofacceleration?
5.TheJamaicanbobsledteamhitthebrakesontheir
sledsothatitdeceleratesatauniformrateof0.43
m/s².Howlongdoesittaketostopifittravels85m
beforecomingtorest?
2.Acarstartsfromrestandacceleratesuniformlyto
reachaspeedof21m/sin7.0s.Whatwasthespeedof
theobjectafter2.0seconds?
Bonus:Adriverofacargoing90km/hsuddenlysees
thelightsofabarrier40.0mahead.Ittakesthedriver
0.75sbeforeheappliesthebrakes(thisisknownas
reactiontime).Oncehedoesbegintobrake,he
deceleratesatarateof10.0m/s².
3.Abikerideracceleratesuniformlyat2.0m/s²for10.0
s.Iftheriderstartsfromrest,calculatethedistance
traveledinthefourthsecond.
(i.e.betweent=3sandt=4s).
a)Doeshehitthebarrier?
b)SUPERͲBONUS:Whatwouldbethemaximumspeed
atwhichthecarcouldtravelandNOThitthebarrier
40.0mahead?
4.Ifabulletleavesthemuzzleofarifleat600.0m/s,
andthebarrelis0.90mlong,whatwastheacceleration
ofthebulletwhileinthebarrel?
Unit 2: Kinematics in 1-D
Exam Preparation
1. 1. A bike first accelerates from 0.0 m/s to 5.0 m/s in 4.5 s, then continues at this constant speed for another
4.5 s. What is the total distance traveled by the bike?
2. A car traveling at 20 m/s when the driver sees a child standing in the road. He takes 0.80 s to react, then
steps on the brakes and slows at 7.0 m/s2. How far does the car go before it stops?
3. Answer the following questions about the car whose motion is graphed below:
d (m)
40
30
20
10 A
0
-10
-20
-30 0 B 20
D
E
C
40
60
80
t (s)
a.
b.
c.
When was the car 20 m west of the origin?
where was the car at 50 s?
The car suddenly reversed direction. When and where did that occur?
4. A car starts 200 m west of the town square and moves with a constant velocity of 15 m/s toward the east.
Draw a graph that represents the motion of the car
a.
Where will the car be 10 minutes later?
b.
When will the car reach the town square?
5. At the same time the car in #4 left, a truck was 400 m east of the town square moving west at a constant
velocity of 12 m/s.
a.
Add the truck’s motion to the graph you drew for question #4.
b.
Find the time where the car passed the truck.
6. A car is coasting backwards downhill at a speed of 3.0 m/s when the driver gets the engine started. After 2.5
s, the car is moving uphill at 4.5 m/s. Assuming that uphill is positive direction, what is the car’s average
acceleration?
7. A car slows from 22 m/s to 3.0 m/s at a constant rate of 2.1 m/s2. How many seconds are required before the
car is traveling 3.0 m/s?
8.
Look at the velocity-time graph given
v (m/s)
12
10
8
6
4
2
00
10
20
30
40
t (s)
a.
b.
c.
d.
During which time interval or intervals is the speed constant?
During which interval or intervals is the train’s acceleration positive?
During which time interval is its acceleration most negative?
Find the average acceleration during the following time intervals:
i.
0 to 5 s.
ii.
15 to 20 s.
iii
0 to 40 s.
9.
An airplane starts from rest and accelerates at a constant rate of 3.00 m/s2 for 30.0 s before leaving the
ground.
a.
How far did it move?
b.
How fast was it going when it took off?
10.
A brick is dropped from a high scaffold.
a.
What is its velocity after 4.0 s?
b.
How far does the brick fall during this time?
11.
A tennis ball is thrown straight up with an initial speed of 22.5 m/s. It is caught at the same
distance above the ground.
a.
How high does the ball rise?
b.
How long does the ball remain in the air?
12.
Consider the following velocity-time graph.
v (m/s)
12
10
8
6
4
2
00
10
20
30
40
t (s)
Determine the displacement after t = ...
a. 10 s.
b. 20 s.
c. 30 s.
d. 40 s.
13. A bag is dropped for a hovering helicopter. When the bag has fallen for 2.00 s,
a.
what is the bag’s velocity?
b.
how far has the bag fallen?
1) 33.8 m 2) 44.6 m 3) a. Between B and C b. 30 m East c. D 4) a. 8800 m b. 13.3 s 5) b. 22.2 s 6) 3.0 m/s 7) 9.04 s 8) a.
Between 5 and 15 s b. Between 0 and 5 s c. Between 15 and 20 s d. i. 2.0 m/s2 ii. 1.2 m/s2 iii 0 m/s2 9) a. 1350 m b. 96 m/s 10) a.
39.2 s b. 78.4 m 11) 25.8 m b. 4.6 s 12) a. 40 m b. 130 m c. 230 m d. 265 m 13) a. 19.6 m/s b. 19.6 m
Worksheet2.7–– UniformAcceleratedMotion
1) Bumblebeejumpsstraightupwardswithavelocityof
14.0m/s.Whatishisdisplacementofafter1.80s?
4)Sonic(youknow,theHedgehog)rollsupaslopeat9.4
m/s.After3.0sheisrollingbackdownat7.4m/s.Howfar
upthehillisheatthistime?
(3.0m)
(9.32m)
2)Asurprisinglysphericaldecepticonisrolledupaconstant
slopewithaninitialvelocityof9.3m/s.Whatisthe
accelerationofthedecepticonifitsdisplacementis1.9m
uptheslopeafter2.7s?
5)Luigijumpsstraightupwardsat15.0m/s.Howhighishe
whenheistravellingat:
a)8.0m/supwards?
(Ͳ6.4m/s2)
3)OptimusPrimecoastsupahillinitiallyat11.0m/s.After
9.3sheisrollingbackdowntheslopeat7.3m/s.Whatis
hisacceleration?
(8.2m)
b)8.0m/sdownwards?
(Ͳ2.0m/s2)
(8.2m,weirdhuh?)
6)Sickofhisguff,OptimusdecidestothrowMegatron
downoffthetopofabuildingat5.0m/s.Megatronhitsthe
groundtravelingat32.0m/s.
a.Howlongdoesittaketohittheground?
8)WhilestrollingalongonPlanetXanastronautdecidesto
throwahammerandafeatherupwardsat5.0m/s.They
bothreturntothepointofreleasein3.0s.Whatisthe
accelerationduetogravityonPlanetX.
(Ͳ3.3m/s2)
(2.8s)
b.Howfardoeshefall?
(Ͳ51m)
7)Mariorollsacoinupaslopeat2.0m/s.Ittravels2.7m,
comestoastopandrollsbackdown.Whatisthecoin’’s
entiretimeoftravel?
9)PrincessToadstoolstandsontheedgeofa30.0mhigh
cliff.ShethrowsBowserupwardsat20.0m/s.IfBowser
fallsallthewaytothebottomofthecliff,find:
a.hisvelocitywhenhehitstheground.
(Ͳ31.4m/s)
b.thetimeittakestohittheground.
(5.24s)
(5.4s)
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